Results 41 to 50 of about 855 (241)
ON INITIAL BOUNDARY VALUE PROBLEMS FOR THE DEGENERATE 1D WAVE EQUATION
Journal of Optimization, Differential Equations and Their Applications, 2019 Initial boundary value problems in space-time rectangle for the following linear inhomogeneous degenerate wave equation of the second order smooth coefficient function a(x) vanishes in single points of segment.
Vladimir V. Borsch
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Об одной смешанной задаче для вырождающегося гиперболического уравнения третьего порядка
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2023 В работе исследуется смешанная краевая задача для гиперболического уравнения третьего порядка с вырождением порядка внутри области. В положительной части области рассматриваемое уравнение совпадает с уравнением Аллера, которое является уравнением ...
Макаова, Р.Х.
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An energy analysis of degenerate hyperbolic partial differential equations. [PDF]
Applications of Mathematics, 1984 From author's summary: An energy analysis is carried out for the usual semi-discrete Galerkin method for the semilinear equation in the region \(\Omega\) : \((tu_ t)_ t=\sum_{i,j=1}(a_{ij}(x)u_{x_ i})x_ i- a_ 0(x)u+f(u),\) subject to the initial and boundary conditions, \(u=0\) on \(\partial \Omega\) and \(u(x,0)=u_ 0\).
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Initial-boundary value problems for degenerate hyperbolic equations
Sibirskie Elektronnye Matematicheskie Izvestiya, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective The Gold Coast criteria permit diagnosis of amyotrophic lateral sclerosis (ALS) even without upper motor neuron (UMN) signs. However, whether ALS patients with UMN signs (ALSwUMN) and those without (ALSwoUMN) share similar characteristics and prognoses remains unclear.
Hee‐Jae Jung +7 more
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Mixed Problems for Singular and Degenerate Hyperbolic Equations
Publications of the Research Institute for Mathematical Sciences, 1987 The author considers a mixed problem for a degenerate hyperbolic equation with principal symbol \(\prod^ m_{j=1}(\tau-t^ k\Lambda_ j(t,x,y;\xi,\eta))\), where \(k\) is a real number, \(k>0\), the variables \((\xi,\eta)\) are dual to \((x,y)\), and the \(\Lambda^ j(t,x,y;\xi,\eta)\) are real and distinct. For this problem the author proves existence and
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Impact of Positive Lifestyle Behaviors on Direct Health Care Cost Savings for Low Back Pain
Arthritis Care &Research, EarlyView.Objective This study aimed to investigate the relationship between a previously purpose‐developed lifestyle behavior scale and health care cost savings related to low back pain (LBP). Methods This longitudinal study used data from the Australian Twin Back (AUTBACK) study. LBP and lifestyle behavior measures were collected at baseline. Physical activity
Ye Tian +8 more
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Analysis and explicit solvability of degenerate tensorial problems
Boundary Value Problems, 2018 We study a two-dimensional boundary value problem described by a tensorial equation in a bounded domain. Once its more general definition is given, we conclude that its analysis is linked to the resolution of an overdetermined hyperbolic problem and ...
Tongxing Li, Giuseppe Viglialoro
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Arthritis Care &Research, Accepted Article.Objective Knee osteoarthritis (OA) commonly affects individuals with Type 2 diabetes (T2DM) and is associated with increased risk of diabetes‐related complications. To better understand potential mechanisms, we examined the association between symptomatic knee OA and glycemic control in individuals with T2DM.
Lauren K. King +10 more
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On Local Solutions of a Mildly Degenerate Hyperbolic Equation
Journal of Mathematical Analysis and Applications, 1999 In this paper existence and uniqueness of local solutions for the initial boundary problem associated to a second order hyperbolic equation are established. More precisely, the following problem is considered: \[ \begin{gathered} u_{tt}-M\left(\int_\Omega|Du|^2dx\right)a(x)\Delta u=0\qquad \text{in }\Omega\times\mathbb R_+,\\ u(x,t)\bigl|_{\partial ...
Aassila, Mohammed, Kaya, Dogan
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